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Max Planck Fellow Group

Mathematical Software - Publications by Type

Explore the scholarly works of the "Mathematical Software" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.

Journal Articles

inJournal
2024 Journal Open Access
Laura Casabella, Marco D'Anna and Pedro A. García-Sánchez

Apéry sets and the ideal class monoid of a numerical semigroup

In: Mediterranean journal of mathematics, 21 (2024) 1, p. 7

BibTex

 DOI: 10.1007/s00009-023-02550-8 ArXiv: 2302.09647
inJournal
2024 Repository Open Access
Alheydis Geiger and Marta Panizzut

Computing tropical bitangents to smooth quartic curves in \(polymake\)

In: Journal of symbolic computation, 120 (2024), p. 102225

BibTex

 DOI: 10.1016/j.jsc.2023.102225 ArXiv: 2112.04447
inJournal
2023 Repository Open Access
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863

BibTex

 DOI: 10.1016/j.aim.2023.108863 ArXiv: 2107.10518 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Mara Belotti, Michael Joswig, Chiara Meroni, Victoria Schleis and Johannes Schmitt

Algebraic and geometric computations in OSCAR

In: SIAM news, 56 (2023) 7, pp. 9-10

BibTex

 Link: sinews.siam.org
inJournal
2023 Journal Open Access
Taylor Brysiewicz, Holger Eble and Lukas Kühne

Computing characteristic polynomials of hyperplane arrangements with symmetries

In: Discrete and computational geometry, 70 (2023) 4, pp. 1356-1377

BibTex

 DOI: 10.1007/s00454-023-00557-2 ArXiv: 2105.14542

MiS Preprint

 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Laura Casabella and Marco D'Anna

Almost symmetric good semigroups

In: Ricerche di matematica, (2023)

BibTex

 DOI: 10.1007/s11587-023-00765-1 ArXiv: 2209.05411
inJournal
2023 Journal Open Access
Andrei Comăneci and Michael Joswig

Asymmetric tropical distances and power diagrams

In: Algebraic combinatorics, 6 (2023) 5, pp. 1211-1234

BibTex

 DOI: 10.5802/alco.306 ArXiv: 2206.09163
inJournal
2023 Journal Open Access
Andrei Comăneci and Michael Joswig

Tropical medians by transportation

In: Mathematical programming, (2023)

BibTex

 DOI: 10.1007/s10107-023-01996-8 ArXiv: 2205.00036
inJournal
2023 Journal Open Access
Holger Eble, Michael Joswig, Lisa Lamberti and William B. Ludington

Master regulators of biological systems in higher dimensions

In: Proceedings of the National Academy of Sciences of the United States of America, 120 (2023) 51, e2300634120

BibTex

 DOI: 10.1073/pnas.2300634120 ArXiv: 2009.12277
inJournal
2023 Repository Open Access
Alex Elzenaar, Gaven Martin and Jeroen Schillewaert

Approximations of the Riley slice

In: Expositiones mathematicae, 41 (2023) 1, pp. 20-54

BibTex

 DOI: 10.1016/j.exmath.2022.12.002 ArXiv: 2111.03230
inJournal
2023 Journal Open Access
Alheydis Geiger and Marta Panizzut

A tropical count of real bitangents to plane quartic curves

In: The electronic journal of combinatorics, 30 (2023) 2, P2.55

BibTex

 DOI: 10.37236/11099 ArXiv: 2112.04433
inJournal
2023 Journal Open Access
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels and Raluca Vlad

Self-dual matroids from canonical curves

In: Experimental mathematics, (2023)

BibTex

 DOI: 10.1080/10586458.2023.2239282 ArXiv: 2212.05910 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Michael Joswig and Ben Smith

Convergent Hahn series and tropical geometry of higher rank

In: The journal of the London Mathematical Society, 107 (2023) 4, pp. 1450-1481

BibTex

 DOI: 10.1112/jlms.12716 ArXiv: 1809.01457
inJournal
2023 Journal Open Access
Michael Joswig, Georg Loho, Dante Luber and Jorge Alberto Olarte

Generalized permutahedra and positive flag Dressians

In: International mathematics research notices, 2023 (2023) 19, pp. 16748-16777

BibTex

 DOI: 10.1093/imrn/rnac349 ArXiv: 2111.13676
inJournal
2023 Journal Open Access
Michael Joswig, Mario Kummer, Andreas Berthold Thom and Claudia He Yun

Some thoughts and experiments on Bergman's compact amalgamation problem

In: Beiträge zur Algebra und Geometrie, (2023)

BibTex

 DOI: 10.1007/s13366-023-00709-8 ArXiv: 2304.08365 Code: mathrepo.mis.mpg.de
inJournal
2022 Journal Open Access
Mara Belotti, Michael Joswig and Marta Panizzut

Algebraic degrees of 3-dimensional polytopes

In: Vietnam journal of mathematics, 50 (2022) 3, pp. 581-597

BibTex

 DOI: 10.1007/s10013-022-00559-2 ArXiv: 2103.06835
inJournal
2022 Journal Open Access
Francisco Criado, Michael Joswig and Francisco Santos

Tropical bisectors and Voronoi diagrams

In: Foundations of computational mathematics, 22 (2022) 6, pp. 1923-1960

BibTex

 DOI: 10.1007/s10208-021-09538-4 ArXiv: 1906.10950
inJournal
2022 Journal Open Access
Claus Fieker, Tommy Hofmann and Michael Joswig

Computing Galois groups of Ehrhart polynomials in OSCAR

In: Séminaire lotharingien de combinatoire, 86B (2022), p. 87

BibTex

 ArXiv: 2203.10287 Link: www.emis.de
inJournal
2022
Michael Joswig

'Mathematik ist modern, wenn sie mit der Zeit geht' : ein Interview mit Martin Grötschel

In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 30 (2022) 1, pp. 38-42

BibTex

 DOI: 10.1515/dmvm-2022-0014
inJournal
2022 Journal Open Access
Michael Joswig, Davide Lofano, Frank H. Lutz and Mimi Tsuruga

Frontiers of sphere recognition in practice

In: Journal of applied and computational topology, 6 (2022) 4, pp. 503-527

BibTex

 DOI: 10.1007/s41468-022-00092-8 ArXiv: 1405.3848
inJournal
2022 Repository Open Access
Michael Joswig, Max Klimm and Sylvain Spitz

Generalized permutahedra and optimal auctions

In: SIAM journal on applied algebra and geometry, 6 (2022) 4, pp. 711-739

BibTex

 DOI: 10.1137/21M1441286 ArXiv: 2108.00979
inJournal
2022 Repository Open Access
Michael Joswig and Benjamin Schröter

Parametric shortest-path algorithms via tropical geometry

In: Mathematics of operations research, 47 (2022) 3, pp. 1707-2545

BibTex

 DOI: 10.1287/moor.2021.1199 ArXiv: 1904.01082
inJournal
2022 Journal Open Access
Michael Joswig, Georg Loho, Dante Luber and Jorge Alberto Olarte

Subdivisions of generalized permutahedra

In: Séminaire lotharingien de combinatoire, 86B (2022), p. 53

BibTex

 ArXiv: 2111.13676 Link: www.emis.de
inJournal
2021 Repository Open Access
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert and Michael Joswig

What tropical geometry tells us about the complexity of linear programming

In: SIAM review, 63 (2021) 1, pp. 123-164

BibTex

 DOI: 10.1137/20M1380211 Link: hal.inria.fr
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile and Thomas Yahl

Decomposable sparse polynomial systems

In: Journal of software for algebra and geometry, 11 (2021) 1, pp. 53-59

BibTex

 DOI: 10.2140/jsag.2021.11.53 ArXiv: 2006.03154 Code: www.math.tamu.edu
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Khazhgali Kozhasov and Mario Kummer

Nodes on quintic spectrahedra

In: Le Matematiche, 76 (2021) 2, pp. 415-430

BibTex

 DOI: 10.4418/2021.76.2.8 ArXiv: 2011.13860 Code: mathrepo.mis.mpg.de
inJournal
2021 Repository Open Access
Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile and Thomas Yahl

Solving decomposable sparse systems

In: Numerical algorithms, 88 (2021) 1, pp. 453-474

BibTex

 DOI: 10.1007/s11075-020-01045-x ArXiv: 2001.04228 Code: www.math.tamu.edu
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Claudia Fevola and Bernd Sturmfels

Tangent quadrics in real 3-space

In: Le Matematiche, 76 (2021) 2, pp. 355-367

BibTex

 DOI: 10.4418/2021.76.2.4 ArXiv: 2010.10879 Code: mathrepo.mis.mpg.de
inJournal
2021 Journal Open Access
Taylor Brysiewicz and Fulvio Gesmundo

The degree of Stiefel manifolds

In: Enumerative combinatorics and applications, 1 (2021) 3, S2R20

BibTex

 DOI: 10.54550/eca2021v1s3r20 ArXiv: 1909.10085
inJournal
2021 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and computational geometry, 64 (2020) 2, p. 355-381]

In: Discrete and computational geometry, 66 (2021) 4, pp. 1217-1217

BibTex

 DOI: 10.1007/s00454-021-00322-3
inJournal
2021 Journal Open Access
Michael Joswig and Ayush Kumar Tewari

Forbidden patterns in tropical plane curves

In: Beiträge zur Algebra und Geometrie, 62 (2021) 1, pp. 65-81

BibTex

 DOI: 10.1007/s13366-020-00523-6 ArXiv: 2002.02270
inJournal
2021 Journal Open Access
Michael Joswig and Timo de Wolff

The international congress on mathematical software goes virtual : experience from organizing an online conference in times of COVID-19

In: Notices of the American Mathematical Society, 68 (2021) 6, pp. 938-939

BibTex

 Link: www.ams.org
inJournal
2021 Repository Open Access
Ralph Morrison and Ayush Kumar Tewari

Convex lattice polygons with all lattice points visible

In: Discrete mathematics, 344 (2021) 1, p. 112161

BibTex

 DOI: 10.1016/j.disc.2020.112161 ArXiv: 2005.04180

MiS Preprint
inJournal
2021 Repository Open Access
Bernd Sturmfels and Simon Telen

Likelihood equations and scattering amplitudes

In: Algebraic statistics, 12 (2021) 2, pp. 167-186

BibTex

 DOI: 10.2140/astat.2021.12.167 ArXiv: 2012.05041
inJournal
2020 Repository Open Access
Michael Joswig and Georg Loho

Monomial tropical cones for multicriteria optimization

In: SIAM journal on discrete mathematics, 34 (2020) 2, pp. 1172-1191

BibTex

 DOI: 10.1137/17M1153066 ArXiv: 1707.09305
inJournal
2020 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

The Schläfli fan

In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381

BibTex

 DOI: 10.1007/s00454-020-00215-x ArXiv: 1905.11951

MiS Preprint

Publications in Books and Conference Proceedings

inBook
2023
Dominic Bunnett, Michael Joswig and Julian Pfeifle

Generalised cone complexes and tropical moduli in \(\texttt{polymake}\)

In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)
New York : ACM, 2023. - pp. 100-106

BibTex

 DOI: 10.1145/3597066.3597093
inBook
2023 Repository Open Access
Michael Joswig, Max Klimm and Sylvain Spitz

The polyhedral geometry of truthful auctions

In: Integer programming and combinatorial optimization : 24th International Conference, IPCO 2023, Madison, WI, USA, June 21-23, 2023, proceedings / Alberto Del Pia... (eds.)
Cham : Springer, 2023. - pp. 231-245
(Lecture notes in computer science ; 13904)

BibTex

 DOI: 10.1007/978-3-031-32726-1_17 ArXiv: 2211.01907
inBook
2022 Repository Open Access
Michael Joswig, Georg Loho, Dante Luber and Jorge Alberto Olarte

Generalized permutahedra and positive flag Dressians

In: Discrete mathematics days 2022 / Luis Felipe Tabera (ed.)
Santander, Spain : Editorial Universidad de Cantabria, 2022. - pp. 163-168

BibTex

 DOI: 10.22429/Euc2022.016 ArXiv: 2111.13676
inBook
2020 Repository Open Access
Michael Joswig and Paul Vater

Real tropical hyperfaces by patchworking in \(\texttt{polymake}\)

In: Mathematical software ICMS 2020 : 7th international conference, Braunschweig, Germany, July 13-16, 2020, proceedings / Anna M. Bigatti... (eds.)
Cham : Springer, 2020. - pp. 202-211
(Lecture notes in computer science ; 12097)

BibTex

 DOI: 10.1007/978-3-030-52200-1_20 ArXiv: 2003.06326

Preprints

Preprint
2024 Repository Open Access
Laura Casabella, Michael Joswig and Lars Kastner

Subdivisions of hypersimplices : with a view toward finite metric spaces

BibTex

 ArXiv: 2402.17665
Preprint
2023 Repository Open Access
Ibrahim Ahmad, Ghislain Fourier and Michael Joswig

Order and chain polytopes of maximal ranked posets

BibTex

 ArXiv: 2309.01626
Preprint
2023 Repository Open Access
Taylor Brysiewicz and Aida Maraj

Lawrence lifts, matroids, and maximum likelihood degrees

BibTex

 ArXiv: 2310.13064
Preprint
2023 Repository Open Access
Taylor Brysiewicz and Michael Joswig

Polyhedral geometry in OSCAR

BibTex

 ArXiv: 2308.07459
Preprint
2023 Repository Open Access
Taylor Brysiewicz, Fulvio Gesmundo and Avi Steiner

Quatroids and rational plane cubics

BibTex

 ArXiv: 2309.07357 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Laura Casabella and Teresa Yu

Standard monomial theory modulo Frobenius in characteristic two

BibTex

 ArXiv: 2311.05530
Preprint
2023 Repository Open Access
Daniel Corey, Michael Joswig, Julien Schanz, Marcel Wack and Moritz Weber

Quantum automorphisms of matroids

BibTex

 ArXiv: 2312.13464
Preprint
2023 Repository Open Access
Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels and Claudia He Yun

Positive del Pezzo geometry

BibTex

 ArXiv: 2306.13604 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Alheydis Geiger, Kevin Kühn and Raluca Vlad

Graph curve matroids

BibTex

 ArXiv: 2311.08332 Code: mathrepo.mis.mpg.de
Preprint
2022 Repository Open Access
Alex Elzenaar, Gaven Martin and Jeroen Schillewaert

The combinatorics of Farey words and their traces

BibTex

 ArXiv: 2204.08076 Code: mathrepo.mis.mpg.de
Preprint
2022 Repository Open Access
Siddarth Kannan, Stefano Serpente and Claudia He Yun

Equivariant Hodge polynomials of heavy/light moduli spaces

BibTex

 ArXiv: 2207.02800
Preprint
2022 Repository Open Access
Claudia He Yun

Discrete Morse theory for symmetric Delta-complexes

BibTex

 ArXiv: 2209.01070
Preprint
2021 Repository Open Access
Matías R. Bender and Simon Telen

Yet another eigenvalue algorithm for solving polynomial systems

BibTex

 ArXiv: 2105.08472
Preprint
2021 Repository Open Access
Taylor Brysiewicz, Anna-Laura Sattelberger, Mima Stanojkovski and Rosa Winter

Meet and greet with OSCAR

BibTex

 Code: mathrepo.mis.mpg.de
Preprint
2021 Repository Open Access
Dominic Bunnett, Michael Joswig and Julian Pfeifle

Stacky fans and tropical moduli in polymake

BibTex

 ArXiv: 2101.07316
Preprint
2021 Repository Open Access
Kathlén Kohn, Ragni Piene, Kristian Ranestad, Felix Rydell, Boris Shapiro, Rainer Sinn, Miruna-Stefana Sorea and Simon Telen

Adjoints and canonical forms of polypols

BibTex

 ArXiv: 2108.11747 Code: mathrepo.mis.mpg.de
Preprint
2020 Repository Open Access
Michael Joswig, Marek Kaluba and Lukas Ruff

Geometric disentanglement by random convex polytopes

BibTex

 ArXiv: 2009.13987

Books

Book
2022
Michael Joswig

Essentials of tropical combinatorics

Providence, R.I. : American Mathematical Society, 2022. - XX, 398
(Graduate studies in mathematics ; 219)
ISBN: 978-1-4704-6741-8, ISBN: 978-1-4704-6740-1, ISSN: 1065-7339

BibTex

 Link: bookstore.ams.org
Book
2020
Anna M. Bigatti, Jacques Carette, James Davenport, Michael Joswig and Timo de Wolff (Eds.)

Mathematical software ICMS 2020 : 7th international conference, Braunschweig, Germany, July 13-16, 2020, proceedings

Cham : Springer, 2020.
(Lecture Notes in computer science / Theoretical computer science and general issues ; 12097)
ISBN: 978-3-030-52199-8, ISBN: 978-3-030-52200-1, ISSN: 0302-9743

BibTex

 DOI: 10.1007/978-3-030-52200-1

Open Access Types

Journal Open Access
• Without article processing charges (diamond open access)
• With article processing charges (gold open access)
• In closed access journals with chargeable open access option (hybrid open access)

Repository Open Access
• Publications on a preprint server or on a free repository (green open access)